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Finding the Fourth Proportional to 345,672.12, 476,757.11 and 224,852.01

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Solution

The fourth proportional to 345,672.12, 476,757.11 and 224,852.01 is: 310,119.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,672.12 : 476,757.11 = 224,852.01 : x
  2. Step 2: Convert to fraction form
    345,672.12/476,757.11 = 224,852.01/x
  3. Step 3: Cross multiply
    345,672.12x = 476,757.11 × 224,852.01
  4. Step 4: Simplify right side
    345,672.12x = 107,199,793,341.03
  5. Step 5: Solve for x
    x = 107,199,793,341.03/345,672.12
  6. Step 6: Final answer
    x = 310,119.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.